10n^2-11n-23=0

Solution for 10n^2-11n-23=0 equation:

10n^2-11n-23=0

a = 10; b = -11; c = -23;
Δ = b2-4ac
Δ = -112-4·10·(-23)
Δ = 1041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{1041}}{2*10}=\frac{11-\sqrt{1041}}{20}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{1041}}{2*10}=\frac{11+\sqrt{1041}}{20}
$